{"status": "success", "data": {"description_md": "**Full credit goes to the staff team at Canada Math for authoring these problems.**\n\nConsider two elliptical pieces of paper whose areas are $60$ each. The ratio of the major axis to the minor axis is $\\sqrt{3}$. Place the pieces of paper on top of each other such that their centers coincide, and the major axes are perpendicular to each other. Find the area of the overlap between the two ellipses. ", "description_html": "<p><strong>Full credit goes to the staff team at Canada Math for authoring these problems.</strong></p>&#10;<p>Consider two elliptical pieces of paper whose areas are <span class=\"katex--inline\">60</span> each. The ratio of the major axis to the minor axis is <span class=\"katex--inline\">\\sqrt{3}</span>. Place the pieces of paper on top of each other such that their centers coincide, and the major axes are perpendicular to each other. Find the area of the overlap between the two ellipses.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Canada Math Contest #2 - Problem 15", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}